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Simplifying 4.7x + -13 = 2.5x + 9 Reorder the terms: -13 + 4.7x = 2.5x + 9 Reorder the terms: -13 + 4.7x = 9 + 2.5x Solving -13 + 4.7x = 9 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. -13 + 4.7x + -2.5x = 9 + 2.5x + -2.5x Combine like terms: 4.7x + -2.5x = 2.2x -13 + 2.2x = 9 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 -13 + 2.2x = 9 + 0.0 -13 + 2.2x = 9 Add '13' to each side of the equation. -13 + 13 + 2.2x = 9 + 13 Combine like terms: -13 + 13 = 0 0 + 2.2x = 9 + 13 2.2x = 9 + 13 Combine like terms: 9 + 13 = 22 2.2x = 22 Divide each side by '2.2'. x = 10 Simplifying x = 10
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